求解prep数学题一道

For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive.  If p is the smallest prime factor of h(100) + 1, then p is

(A) between 2 and 10

(B) between 10 and 20

(C) between 20 and 30

(D) between 30 and 40

(E) greater than 40

没有思路，谢谢各位

E is the answer. I have the same question. Many thanks!

这是我自己琢磨出来的，仅供参考哦~

只要求出最后答案的十位数和个位数：是01 他不可能被任何数整除，只能被它自己